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Finding the Third Proportional to 120,793 and 257,143

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Solution

The third proportional to 120,793 and 257,143 is: 547,403.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,793 : 257,143 = 257,143 : x
  2. Step 2: Convert to fraction form
    120,793/257,143 = 257,143/x
  3. Step 3: Cross multiply
    120,793x = 257,143 × 257,143
  4. Step 4: Simplify right side
    120,793x = 66,122,522,449
  5. Step 5: Solve for x
    x = 66,122,522,449/120,793
  6. Step 6: Final answer
    x = 547,403.59

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.